Prove2Me

A power of 1004 exceeds the factorial of 2007

Proved
WorkbookSource.base_26041

by wamlart · Sep 12, 2026 · Mathlib 0df444a (Lean v4.33.1)

lean-workbooksource-checked

Prove that 10042007>2007!1004^{2007}> 2007!.

Source: InternLM Lean-Workbook, record lean_workbook_26041 (Apache-2.0). Complete source proposition preserved; proof developed independently.

Preamble
import Mathlib
open Real Nat
Formal statement
theorem WorkbookSource.base_26041 : 1004^2007 > 2007!  :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_26041; Apache-2.0

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